λ
Harmonic Matrix

5,462,442

2 × 32 × 303469
Abundant Even Composite

5,462,442 has digital root 9. The neighboring primes are 5462441 and 5462447; its proper-divisor sum differs from the starting integer by 910,446.

Prime Factor Structure

Factorization String 2 × 3^2 × 303469
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,835,330
Proper Divisor Sum 6,372,888
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5462441 ← → #5462447

Radix Representation

Decimal 5462442
Binary 10100110101100110101010 (23 bits)
Octal 0o24654652
Hexadecimal 0x5359AA

Divisor Catalog (12)

1 2 3 6 9 18 303,469 606,938 910,407 1,820,814 2,731,221 5,462,442

Collatz Trajectory (64 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,462,442 2,731,221 8,193,664 4,096,832 2,048,416 1,024,208 512,104 256,052 128,026 64,013 192,040 96,020 48,010 24,005 72,016 36,008 18,004 9,002 4,501 13,504 6,752 3,376 1,688 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

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